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On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds

✍ Scribed by Joyce, Dominic (author);Lee, Yng Ing (author);Schoen, Richard (author)


Book ID
118226465
Publisher
Johns Hopkins University Press
Year
2011
Tongue
English
Weight
539 KB
Volume
133
Category
Article
ISSN
0002-9327

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A note on the space of lagrangian subman
✍ Tim Swift πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 76 KB

We show that the space of compact lagrangian submanifolds of a symplectic 4-manifold is a coisotropic submanifold of the space of all codimension two submanifolds, the latter being equipped with a natural symplectic structure. The characteristic foliation of this coisotropic submanifold is shown to